Use our free GCF of Fractions Calculator tool to compute the GCF of 29/185, 218/330, 639/456 i.e 1/927960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/185, 218/330, 639/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/185,218/330,639/456
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 29/185,218/330,639/456, numerators are 29,218,639
Denominators are 185,330,456
The GCF of 29,218,639 is 1 .
LCM of 185,330,456 is 927960.
The greatest common factor of 29/185,218/330,639/456 = [GCF of 29,218,639]/[LCM of 185,330,456]= 1/927960
Therefore, the GCF of 29/185,218/330,639/456 is 1/927960.
To find the highest common factor of 29,218,639, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 218 are 1, 2, 109, 218
The factors of 639 are 1, 3, 9, 71, 213, 639
The HCF of 29,218,639 is 1.
Lets's calculate GCF of 29,218,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 29
:1,29
Now, list down the factors of 218
:1,2,109,218
Now, list down the factors of 639
:1,3,9,71,213,639
Greatest Common Factor
We found the factors 29,218,639 . The biggest common factor number is the GCF number.
So the greatest common factor 29,218,639 is 1.
Lets's calculate LCM of 185,330,456
2 | 185, 330, 456 |
3 | 185, 165, 228 |
5 | 185, 55, 76 |
37, 11, 76 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 37 x 11 x 76 = 927960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/927960
Therefore, the GCF of Fractions 29/185,218/330,639/456 is 1/927960
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 185,330,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,330,456) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(185,330,456) x common factors =1 x 30 = 30
LCM(185,330,456) = ( 185 × 330 × 456 ) / 30
LCM(185,330,456) = 27838800 / 30
LCM(185,330,456) = 927960
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,218,639?
The HCF of 29,218,639 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 29/185, 218/330, 639/456?
Answer: GCF of Numerators as per given numbers 29/185, 218/330, 639/456 is
GCF of Numerators i.e. for 29,218,639 is 1
LCM of denominators i.e. for 185,330,456 is 927960.
Thus, GCF of Fractions is 1/927960.Finally, GCF of Fractions for 29/185, 218/330, 639/456 is 1/927960.